101006631 has 12 divisors (see below), whose sum is σ = 159162120. Its totient is φ = 61216080.

The previous prime is 101006627. The next prime is 101006671. The reversal of 101006631 is 136600101.

101006631 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 663 + 1 = 666.

It is not a de Polignac number, because 101006631 - 2² = 101006627 is a prime.

It is a super-2 number, since 2×101006631² = 20404679011940322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510036 + ... + 510233.

It is an arithmetic number, because the mean of its divisors is an integer number (13263510).

Almost surely, 2^101006631 is an apocalyptic number.

101006631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101006631 is a deficient number, since it is larger than the sum of its proper divisors (58155489).

101006631 is a wasteful number, since it uses less digits than its factorization.

101006631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020286 (or 1020283 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101006631 is about 10050.2055202866. The cubic root of 101006631 is about 465.7111421844.

Adding to 101006631 its reverse (136600101), we get a palindrome (237606732).

The spelling of 101006631 in words is "one hundred one million, six thousand, six hundred thirty-one".